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Matem. Mod., 2007, Volume 19, Number 3, Pages 52–58 (Mi mm935)  

This article is cited in 8 scientific papers (total in 8 papers)

Numerical simulation flows of incompressible viscous fluid with free surface based on SIMPLE method

V. A. Yakutenok, E. I. Borzenko

Tomsk State University

Abstract: In present article method for solution of incompressible viscous flow problems with free surface is presented. Conjoint using of SIMPLE method and method of invariants for computing velocity on free surface underlies method. At solution problem of filling vertical channel it is displayed that continuity holds with a high accuracy. Evolution of free surface during process filling for different numbers Reynolds and Froude is investigated.

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Received: 11.08.2006

Citation: V. A. Yakutenok, E. I. Borzenko, “Numerical simulation flows of incompressible viscous fluid with free surface based on SIMPLE method”, Matem. Mod., 19:3 (2007), 52–58

Citation in format AMSBIB
\Bibitem{YakBor07}
\by V.~A.~Yakutenok, E.~I.~Borzenko
\paper Numerical simulation flows of incompressible viscous fluid with free surface based on SIMPLE method
\jour Matem. Mod.
\yr 2007
\vol 19
\issue 3
\pages 52--58
\mathnet{http://mi.mathnet.ru/mm935}
\zmath{https://zbmath.org/?q=an:1119.76320}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Borzenko E.I., Yakutenok V.A., “Evolution of the free surface of a plane channel during filling with a viscous fluid”, Fluid Dyn., 43:1 (2008), 20–25  crossref  zmath  adsnasa  isi  elib  scopus
    2. Borzenko E.I., Shrager G.R., Yakutenok V.A., “Filling of channels with a non-Newtonian fluid in the gravity field”, Fluid Dyn., 44:6 (2009), 830–835  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    3. Borzenko E.I., Shrager G.R., Yakutenok V.A., “Simulation of the process of the filling of planar channels with viscoplastic fluid”, Theoretical Foundations of Chemical Engineering, 45:2 (2011), 173–179  crossref  isi  elib  scopus
    4. Lipanov A.M., Stepanova N.V., Shishkina L.V., “Matematicheskoe modelirovanie techeniya gaza i zhidkosti posle chastichnogo razrusheniya plotiny. matematicheskaya postanovka zadachi”, Vestnik Izhevskogo gosudarstvennogo tekhnicheskogo universiteta, 2011, no. 4, 174–177  elib
    5. E. I. Borzenko, G. R. Shrager, “Neizotermicheskoe techenie vyazkoi zhidkosti pri zapolnenii ploskogo kanala”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2012, no. 2(18), 80–87  mathnet
    6. Borzenko E.I., Frolov O.Yu., Shrager G.R., “Fountain Nonisothermal Flow of a Viscous Liquid During the Filling of a Circular Tube”, Theor. Found. Chem. Eng., 48:6 (2014), 824–831  crossref  isi  elib  scopus
    7. Borzenko E.I. Shrager G.R., “Effect of Viscous Dissipation on Temperature, Viscosity, and Flow Parameters While Filling a Channel”, Thermophys. Aeromechanics, 21:2 (2014), 211–221  crossref  isi  elib  scopus
    8. Borzenko E.I., Frolov O.Yu., Shrager G.R., “Fountain Viscous Fluid Flow During Filling a Channel When Taking Dissipative Warming Into Account”, Fluid Dyn., 49:1 (2014), 37–45  crossref  mathscinet  zmath  isi  elib  scopus
  • Математическое моделирование
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